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All issues Volume 25 / No 2 (1991) ESAIM: M2AN, 25 2 (1991) 213-252 References
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Issue
ESAIM: M2AN
Volume 25, Number 2, 1991
Page(s) 213 - 252
DOI https://doi.org/10.1051/m2an/1991250202131
Published online 31 January 2017
  1. C. BAIOCCHI [ 1977] Estimations d'erreur dans L∞ pour les inéquations à obstacle In Mathematical Aspects of Finite Element Methods, Rome, 1975 Springer Lecture Notes Math 606, pp 27-34 [MR: 488847] [Zbl: 0374.65053] [Google Scholar]
  2. J. W. BARRETT and C. M. ELLIOTT [ 1989a] Finite element approximation of a plasma equilibrum problem IMA J Numer Anal 9, 443-464 [MR: 1030641] [Zbl: 0681.76114] [Google Scholar]
  3. J. W. BARRETT and C. M. ELLIOTT [ 1989b] Remarks concerning a free boundary problem arising in the theory of liquid drops and plasma physics Proc Roy Soc Edin A 111, 169-181 [MR: 985997] [Zbl: 0668.76137] [Google Scholar]
  4. T. B. BENJAMIN and A. COCKER [ 1984] Liquid drops suspended by soap filmsPart II Proc. Roy. Soc. Lond. A 394, 33-45 [MR: 763503] [Zbl: 0573.76091] [Google Scholar]
  5. H. BERESTYCKI and H. BREZIS [ 1980] On a free boundary problem arising in plasma physics Nonlinear Analysis 4, 415-436 [MR: 574364] [Zbl: 0437.35032] [Google Scholar]
  6. G. CALOZ [ 1984] A free boundary problem related to axisymmetric MHD equilibria existence and numerical approximation of solutions Report of Dept Mathematics, Lausanne [Google Scholar]
  7. G. CALOZ[ 1987] : Simulation numérique des équilibres d'un plasma dans un tokomak : modélisation et études mathématiques. Thesis 650 of Dept. Mathematics, EPF-Lausanne. [Google Scholar]
  8. G. CALOZ [ 1988] : Approximation by finite element method of the model plasma problem. Dept. of Mathematics, University of Maryland. [Zbl: 0712.76069] [Google Scholar]
  9. R. CHAKRABARTI [ 1988] : Numerical solution of some free boundary problems. Ph. D. Thesis, Imperial College. [Google Scholar]
  10. P. G. CIARLET [ 1988] : Introduction to Numerical Linear Algebra and Optimisation. C.U.P., Cambridge. [MR: 1015713] [Zbl: 0672.65001] [Google Scholar]
  11. P. G. CIARLET and P. RAVIART [ 1973] : Maximum principle and uniform convergence for the finite element method. Comp. Meth. Appl. Mech. Eng. 2, 17-31. [MR: 375802] [Zbl: 0251.65069] [Google Scholar]
  12. A. COCKER, A. FRIEDMAN and J. B. MCLEOD [ 1986] : A variational inequality associated with liquid on a soap film. Arch. Rat. Mech. Anal. 93, 15-45. [MR: 822334] [Google Scholar]
  13. P. CORTEY-DUMONT [ 1985b] : Sur les inéquations variationnelles à opérateur non coercif. M2AN.-R.A.I.R.O., 19, 195-212. [EuDML: 193446] [MR: 802593] [Google Scholar]
  14. P. CORTEY-DUMONT [ 1985b] : On finite element approximation in the L∞-norm of variational inequalities. Numer. Math., 47, 45-57. [EuDML: 133022] [MR: 797877] [Zbl: 0574.65064] [Google Scholar]
  15. M. CROUZEIX and J. RAPPAZ [ 1987] : On numerical approximation in bifurcation theory. Report of the Department of Mathematics, EPF-Lausanne. [Zbl: 0687.65057] [Google Scholar]
  16. N. DYN and W. E. FERGUSON [ 1983] : The numerical solution of equality-constrained quadratic programming problems. Math. Comp., 163, 165-170. [MR: 701631] [Zbl: 0527.49030] [Google Scholar]
  17. R. FALK [ 1974] : Error estimates for the approximation of a class of variational inequalities.Math. Comp. 28, 963-971. [MR: 391502] [Zbl: 0297.65061] [Google Scholar]
  18. A. FRIEDMAN [ 1982] : Variational Principles and Free Boundary Problems. J. Wiley, New York. [MR: 679313] [Zbl: 0564.49002] [Google Scholar]
  19. V. GIRAULT and P. A. RAVIART [ 1982] : An analysis of upwind schemes for the Navier-Stokes equations SIAM. J. Numer. Anal. 19, 312-333. [MR: 650053] [Zbl: 0487.76036] [Google Scholar]
  20. P. GRISVARD [ 1985] : Elliptic Problems in Nonsmooth Domains, Pilman, Boston. [MR: 775683] [Zbl: 0695.35060] [Google Scholar]
  21. F. KlKUCHl, K. NAKAZOTA and T. USHIJIMA [ 1984] : Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria. Japan J. Appl. Math. 1, 369-403. [MR: 840803] [Zbl: 0634.76117] [Google Scholar]
  22. D. KINDERLEHRER and J. SPRUCK [ 1978] : Regularity in free boundary problems. Ann. Scuola N. Sup. Pissa 5, 131-148. [EuDML: 83772] [MR: 481511] [Zbl: 0409.76095] [Google Scholar]
  23. D. KINDERLEHRER and G. STAMPACCHIA [ 1980] : An Introduction to Variational Inequalities and Their Applications. Academic Press, New York. [MR: 567696] [Zbl: 0457.35001] [Google Scholar]
  24. J. A. NITSCHE [ 1977]: L∞-convergence of finite element approximations. In: Mathematical Aspects of Finite Element Methods, Rome. 1975. Springer Lectures Notes Math., 606,pp. 1-15. [EuDML: 273799] [MR: 488848] [Zbl: 0362.65088] [Google Scholar]
  25. J. RAPPAZ [ 1984] : Approximation of a nondifferentiable nonlinear problem related to MHD equuibria. Numer. Math. 45, 117-133. [EuDML: 132956] [MR: 761884] [Zbl: 0527.65073] [Google Scholar]
  26. J. F. RODRIGUES [ 1987] : Obstacle Problems in Mathematical Physics, North Holland, Amsterdam. [MR: 880369] [Zbl: 0606.73017] [Google Scholar]
  27. A. SCHATZ[ 1985] : An introduction to the analysis of the error in the finite element method for second-order elliptic boundary value problems. In : Numerical Analysis Lancaster 1984. Springer Lecture Notes, Math., 1129, pp. 94-139. [MR: 799031] [Zbl: 0577.65096] [Google Scholar]
  28. M. SERMANGE [ 1979] : Une méthode numérique en bifurcation - une application à un problème à frontière libre de la physique des plasmas. Appl. Math. Optim. 5, 127-151. [MR: 533616] [Zbl: 0393.65026] [Google Scholar]
  29. G. STRANG and G. FIX [ 1973] : An Analysis of the Finite Element Method Prentice-Hall, New Jersey. [MR: 443377] [Zbl: 0356.65096] [Google Scholar]
  30. R. TEMAM [ 1975] : A nonlinear eigenvalue problem : equilibrium shape of a confined plasma. Arch. Rat. Mech. Anal. 60, 51-73. [MR: 412637] [Zbl: 0328.35069] [Google Scholar]
  31. R. TEMAM [ 1977] : Remarks on a free boundary problem arising in plasma physics. Comm. in P.D.E. 2, 563-585. [MR: 602544] [Zbl: 0355.35023] [Google Scholar]
  32. V. THOMEE [ 1984] : Galerkin Finite Element Methods for Parabolic Problems. Lect.Notes Math. (Springer) # 1054. [MR: 744045] [Zbl: 0528.65052] [Google Scholar]

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